102100002212012 has 288 divisors, whose sum is σ = 231051142103040. Its totient is φ = 38597545768320.

The previous prime is 102100002211967. The next prime is 102100002212023. The reversal of 102100002212012 is 210212200001201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 868855253 + ... + 868972755.

It is an arithmetic number, because the mean of its divisors is an integer number (802260910080).

Almost surely, 2^{102100002212012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102100002212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115525571051520).

102100002212012 is an abundant number, since it is smaller than the sum of its proper divisors (128951139891028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102100002212012 is a wasteful number, since it uses less digits than its factorization.

102100002212012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117689 (or 117668 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102100002212012 its reverse (210212200001201), we get a palindrome (312312202213213).

The spelling of 102100002212012 in words is "one hundred two trillion, one hundred billion, two million, two hundred twelve thousand, twelve".